Successive failures of approachability
نویسندگان
چکیده
Motivated by showing that in ZFC we cannot construct a special Aronszajn tree on some cardinal greater than $${\aleph _1}$$ , produce model which the approachability property fails (hence there are no trees) at all regular cardinals interval $$\left[ {{\aleph _2},{\aleph _{{\omega ^2} + 3}}} \right]$$ and $${{\aleph ^2}}}}$$ is strong limit.
منابع مشابه
Successive Failures of Approachability
Motivated by showing that in ZFC we cannot construct a special Aronszajn tree on some cardinal greater than א1, we produce a model in which the approachability property fails (hence there are no special Aronszajn trees) at all regular cardinals in the interval [א2,אω2+3] and אω2 is strong limit.
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2021
ISSN: ['1565-8511', '0021-2172']
DOI: https://doi.org/10.1007/s11856-021-2138-9